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A thin cylindrical pressure vessel with closed ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to longitudinal stress is

1. 0.25
2. 0.50
3. 1.0
4. 2.0

Correct answer: 2.0

Solution

For a thin cylindrical pressure vessel with closed ends, hoop stress is $\sigma_h = \frac{pd}{2t}$ and longitudinal stress is $\sigma_l = \frac{pd}{4t}$. Therefore, $\sigma_h/\sigma_l = 2$. The correct option is 2.0.

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